Algebra Question (Factoring a Polynomial)?
18a^3 - 15a^2b + 12ab^2 - 10b^3
A (3a^2 - 2b^2)(6a + 5b)
B (3a^2 + 2b)(6a - 5b)
C (18a^2 + 2b^2)(a - 5b)
D (3a^2 + 2b^2)(6a - 5b
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18a^3 - 15a^2b + 12ab^2 - 10b^3
=3a^2(6a-5b)+2b^2(6a-5b)
=(3a^2+2b^2)(6a-5b) answer D
18a^3 - 15a^2b + 12ab^2 - 10b^3 =
Group.
(18a^3 + 12ab^2) + (-15a^2b - 10b^3) =
Factor.
6a(3a^2 + 2b^2) - 5b(3a^2 + 2b^2) =
Due to distributive properties, you can rewrite as:
(6a - 5b)(3a^2 + 2b^2) =
(3a^2 + 2b^2)(6a - 5b)
ANSWER: D (3a^2 + 2b^2)(6a - 5b)
D
D